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10000211322 = 23314310911471
BaseRepresentation
bin10010101000000111…
…10001110101111010
3221210221011101000010
421110003301311322
5130440023230242
64332151122350
7502546252023
oct112403616572
927727141003
1010000211322
114271949862
121b310733b6
13c34a6270a
146ac1b9c4a
153d7e0089c
hex2540f1d7a

10000211322 has 64 divisors (see below), whose sum is σ = 21321400320. Its totient is φ = 3121675200.

The previous prime is 10000211311. The next prime is 10000211323. The reversal of 10000211322 is 22311200001.

10000211322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10000211298 and 10000211307.

It is not an unprimeable number, because it can be changed into a prime (10000211323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866047 + ... + 877517.

It is an arithmetic number, because the mean of its divisors is an integer number (333146880).

Almost surely, 210000211322 is an apocalyptic number.

10000211322 is an abundant number, since it is smaller than the sum of its proper divisors (11321188998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000211322 is a wasteful number, since it uses less digits than its factorization.

10000211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11659.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10000211322 its reverse (22311200001), we get a palindrome (32311411323).

The spelling of 10000211322 in words is "ten billion, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 31 43 62 86 93 109 129 186 218 258 327 654 1333 2666 3379 3999 4687 6758 7998 9374 10137 11471 14061 20274 22942 28122 34413 68826 145297 290594 355601 435891 493253 711202 871782 986506 1066803 1250339 1479759 2133606 2500678 2959518 3751017 7502034 15290843 30581686 38760509 45872529 53764577 77521018 91745058 107529154 116281527 161293731 232563054 322587462 1666701887 3333403774 5000105661 10000211322